Representation of SU(infinity) Algebra for Matrix Models
High Energy Physics - Theory
2009-11-07 v2
Abstract
We investigate how the matrix representation of SU(N) algebra approaches that of the Poisson algebra in the large N limit. In the adjoint representation, the (N^2-1) times (N^2-1) matrices of the SU(N) generators go to those of the Poisson algebra in the large N limit. However, it is not the case for the N times N matrices in the fundamental representation.
Keywords
Cite
@article{arxiv.hep-th/0206157,
title = {Representation of SU(infinity) Algebra for Matrix Models},
author = {Naofumi Kitsunezaki and Shozo Uehara},
journal= {arXiv preprint arXiv:hep-th/0206157},
year = {2009}
}
Comments
8 pages